{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Probability Callibration Study\n",
    "Small study of probability calibration for classifier used with\n",
    "the propensity score. See\n",
    "[sklearn documentation](https://scikit-learn.org/stable/modules/calibration.html)\n",
    "for more. \n",
    "\n",
    "Also, a discussion of what this means for causal estimators and the respective frameworks can be found [in this discussion.](https://github.com/uber/causalml/issues/82) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Setup and import everything needed\n",
    "import numpy as np\n",
    "from pygam import LogisticGAM, s\n",
    "\n",
    "np.random.seed(0)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.svm import LinearSVC\n",
    "from sklearn.calibration import calibration_curve, CalibratedClassifierCV\n",
    "\n",
    "from causalml.propensity import ElasticNetPropensityModel\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "X, y = datasets.make_classification(n_samples=100000, n_features=20,\n",
    "                                    n_informative=2, n_redundant=2)\n",
    "\n",
    "def calibrate(ps, treatment):\n",
    "    \"\"\"Calibrate propensity scores with logistic GAM.\n",
    "    Ref: https://pygam.readthedocs.io/en/latest/api/logisticgam.html\n",
    "    Args:\n",
    "        ps (numpy.array): a propensity score vector\n",
    "        treatment (numpy.array): a binary treatment vector (0: control, 1: treated)\n",
    "    Returns:\n",
    "        (numpy.array): a calibrated propensity score vector\n",
    "    \"\"\"\n",
    "\n",
    "    gam = LogisticGAM(s(0)).fit(ps, treatment)\n",
    "\n",
    "    return gam.predict_proba(ps)\n",
    "\n",
    "train_samples = 1000  # Samples used for training the models\n",
    "\n",
    "X_train = X[:train_samples]\n",
    "X_test = X[train_samples:]\n",
    "y_train = y[:train_samples]\n",
    "y_test = y[train_samples:]\n",
    "\n",
    "# Create classifiers\n",
    "lr = LogisticRegression(solver='lbfgs')\n",
    "gnb = GaussianNB()\n",
    "svc = LinearSVC(C=1.0)\n",
    "rfc = RandomForestClassifier(n_estimators=100)\n",
    "en = ElasticNetPropensityModel(n_fold=5)\n",
    "post = None\n",
    "cv = CalibratedClassifierCV(RandomForestClassifier(), method='isotonic')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "ax1 = plt.subplot2grid((3, 1), (0, 0), rowspan=2)\n",
    "ax2 = plt.subplot2grid((3, 1), (2, 0))\n",
    "\n",
    "ax1.plot([0, 1], [0, 1], \"k:\", label=\"Perfectly calibrated\")\n",
    "for clf, name in [(lr, 'Logistic'),\n",
    "                  # (gnb, 'Naive Bayes'),\n",
    "                  # (svc, 'Support Vector Classification'),\n",
    "                  (en, 'ElasticNetPropensityModel'),\n",
    "                  (post, 'Calibrated ENPM'),\n",
    "                  (cv, 'Random Forest - isotonic callibrated'),\n",
    "                  (rfc, 'Random Forest')]:\n",
    "    if not name is 'Calibrated ENPM':\n",
    "        clf.fit(X_train, y_train)\n",
    "    if hasattr(clf, \"predict_proba\"):\n",
    "        prob_pos = clf.predict_proba(X_test)[:, 1]\n",
    "    elif isinstance(clf, ElasticNetPropensityModel):\n",
    "        prob_pos = clf.predict(X_test)\n",
    "    elif name is 'Calibrated ENPM':\n",
    "        prob_pos = calibrate(en.predict(X_test), y_test)\n",
    "    else:  # use decision function\n",
    "        prob_pos = clf.decision_function(X_test)\n",
    "        prob_pos = \\\n",
    "            (prob_pos - prob_pos.min()) / (prob_pos.max() - prob_pos.min())\n",
    "    fraction_of_positives, mean_predicted_value = \\\n",
    "        calibration_curve(y_test, prob_pos, n_bins=10)\n",
    "\n",
    "    ax1.plot(mean_predicted_value, fraction_of_positives, \"s-\",\n",
    "             label=\"%s\" % (name, ))\n",
    "\n",
    "    ax2.hist(prob_pos, range=(0, 1), bins=10, label=name,\n",
    "             histtype=\"step\", lw=2)\n",
    "\n",
    "\n",
    "ax1.set_ylabel(\"Fraction of positives\")\n",
    "ax1.set_ylim([-0.05, 1.05])\n",
    "ax1.legend(loc=\"lower right\")\n",
    "ax1.set_title('Calibration plots  (reliability curve)')\n",
    "\n",
    "ax2.set_xlabel(\"Mean predicted value\")\n",
    "ax2.set_ylabel(\"Count\")\n",
    "ax2.legend(loc=\"upper center\", ncol=2)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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